On the motion of a point mass in a given force field along a helix on a rough surface

Abstract

This question for the case of a homogeneous field—the field of gravity—was discussed in detail by Prof. M.I. Akimov, who found all surfaces that permit the motion of apoint mass under gravity along helical lines with a vertical axis in the presence of friction, and investigated the conditions for these surfaces under which the motion in question would be stable.

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